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Finding the Fourth Proportional to 38,544.67, 57,778.20 and 16,067.80

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Solution

The fourth proportional to 38,544.67, 57,778.20 and 16,067.80 is: 24,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,544.67 : 57,778.20 = 16,067.80 : x
  2. Step 2: Convert to fraction form
    38,544.67/57,778.20 = 16,067.80/x
  3. Step 3: Cross multiply
    38,544.67x = 57,778.20 × 16,067.80
  4. Step 4: Simplify right side
    38,544.67x = 928,368,469.43
  5. Step 5: Solve for x
    x = 928,368,469.43/38,544.67
  6. Step 6: Final answer
    x = 24,085.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.